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Finding the Third Proportional to 46,900.13 and 99,951.19

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Solution

The third proportional to 46,900.13 and 99,951.19 is: 213,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,900.13 : 99,951.19 = 99,951.19 : x
  2. Step 2: Convert to fraction form
    46,900.13/99,951.19 = 99,951.19/x
  3. Step 3: Cross multiply
    46,900.13x = 99,951.19 × 99,951.19
  4. Step 4: Simplify right side
    46,900.13x = 9,990,239,882.66
  5. Step 5: Solve for x
    x = 9,990,239,882.66/46,900.13
  6. Step 6: Final answer
    x = 213,010.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.